nth term is n squared plus three
The nth term is 5n-3 and so the next term will be 22
5
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
The nth term is: 4n
Given n and any number for the nth term, it is a simple matter to find a rule such that the above four numbers are the first four of a sequence and the given number in the nth position.However, the simple answer for simple questions is Un = 4n
12 - 5(n-1)
To find the nth term of the sequence 4, 10, 18, 28, 40, we first identify the pattern in the differences between consecutive terms: 6, 8, 10, and 12. The second differences are constant at 2, indicating a quadratic sequence. The nth term can be expressed as ( a_n = n^2 + n + 2 ). Thus, the nth term of the sequence is ( n^2 + n + 2 ).
The nth term is -4n+102. Method: To find the nth term (Tn) of the sequence, multiply n by the pattern of change in the sequence from left to right (-4). Then, substitute n for a term, for example, term 2. Follow the first step (-4n) which will give -8. Then you add or subtract to equal the number of that term (94). -8+x=94. x=102. Therefore, the formula for the nth term is -4n+102. To prove it, try with any term. Term 3 (the number is 90). 3 x -4 = -12 -12 + 102 = 90 Tada!
To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).
To find the nth term of the sequence 9, 12, 17, 24, 33, 44, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11. These differences form an arithmetic sequence with a common difference of 2. This suggests that the nth term can be expressed as a quadratic function. By deriving the formula, the nth term is given by ( a_n = n^2 + 8n - 1 ).
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
The nth term of the sequence is expressed by the formula 8n - 4.
The sequence 12, 13, 14, 15 is an arithmetic sequence where each term increases by 1. The nth term can be expressed as ( a_n = 12 + (n - 1) \times 1 ), which simplifies to ( a_n = 11 + n ). Therefore, the nth term of the sequence is ( a_n = n + 11 ).
The nth term is 5n-3 and so the next term will be 22
-4, -3, 0, 5, 12, 21, 32
Well, honey, looks like we've got ourselves an arithmetic sequence here with a common difference of 7. So, to find the nth term, we use the formula a_n = a_1 + (n-1)d. Plug in the values a_1 = 12, d = 7, and n to get the nth term. Math doesn't have to be a drag, darling!
t(n) = 12*n + 5